We present the results of SAO RAS 6-m BTA spectral observations of GRBs and XRFs with the signs of SNe: GRB/XRF 060218 (SN 2006aj) and XRF 080109 (SN 2008D). The properties of these events are similar to those of usual core-collapse SNe without GRBs. Some spectral features in the cases of SN 2006aj and SN 2008D may be interpreted as hydrogen and helium traces. This supports an idea of presence of a relic envelope around the progenitor star and the shock break-out effects observed in X-rays, UV and optics.